Find the value of y, if the distance between the points (2, y) and (- 4, 3) is 10.
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Step-by-step explanation:
√(2+4)²+(y-3)²=10
squaring on both sides
(2+4)²+(y-3)²=100
(6)²+(y-3)². =100
36+ y²-6y+9=100
y²-6y-55=0
y(y+5)-11(y+5)=0
(y+5)(y-11)=0
y= -5 or 11
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